A discrete version of the Brunn-Minkowski inequality and its stability

DOI10.5802/ambp.264zbMath1197.52003arXiv0710.4875OpenAlexW2472116519MaRDI QIDQ1034191

Michel Bonnefont

Publication date: 11 November 2009

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4875

zbMATH Keywords

discretizationRicci curvatureBrunn-Minkowski inequalitymetric measure spaces\({\mathbb D}\)-convergence

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Inequalities and extremum problems involving convexity in convex geometry (52A40)

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A rough curvature-dimension condition for metric measure spaces

Cites Work

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• Mass transportation and rough curvature bounds for discrete spaces
• Autour de l'inégalité de Brunn-Minkowski
• A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
• Ricci curvature for metric-measure spaces via optimal transport
• On the measure contraction property of metric measure spaces
• On the geometry of metric measure spaces. I
• On the geometry of metric measure spaces. II
• Geometric Inequalities and Generalized Ricci Bounds in the Heisenberg Group
• The Brunn-Minkowski inequality